In Part 1, I introduced a qualitative generalisation of Kevin Kelly’s Four Circle system of violin design. In this section, I will derive the general mathematical relationships that define the body of a violin.
Terminology
A note on the use of the word “body”. From hereon, I will use the term “body” to refer to the section of the soundboard excluding the corners. I will use “violin” to refer to the acoustic soundbox of the instrument, which includes both the body and corners. This is to avoid a confusing equivocation.